Transverse Vibration of a J-Shaped and Stepped Rod with Fixed and Free Supports

Abstract

A reverse J-shaped rod used as the post for a street light is assumed to be a rod composed of a straight line portion and an arcuate portion. The sectional area of the rod is reduced gradually from the fixed end towords the free end. In the present case, however, it is assumed that the section varies stepwise at the point bordering the straight line and the arc. A frequency equation is set up of transverse vibration, within the plane including the center line, of a J-shaped and stepped rod with fixed-free supports. Then the relationships are clarified such as the dimensionless natural frequency to the central angle of the arcuate portion, or the ratio of the diameter of the arcuate portion to that of the straight line portion.